What is the limit as x approaches-2-of (-3)/(x^2-4) ?

The limit as x approaches-2-of (-3)/(x^2-4) is -infinity

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limit as x approaches-2-of (-3)/(x^2-4)

x \to - 2 - lim (\frac{- 3}{x ^{2} - 4})

- \infty

Solution steps

x \to - 2 - lim (\frac{- 3}{x ^{2} - 4})

For

x

approaching

- 2

from the left

, x < - 2 \Rightarrow x^{2} - 4 > 0

The denominator is a positive quantity approaching 0 from the right

= - \infty

n = 1 \sum \infty \frac{1}{n ^{3} + 2}

f (x) = x^{2} (1 - 7 x)

\int \frac{2}{x ( x ^{2} + 25 )} d x

cos^{2} (x) sin (x) y^{^{'}} + cos^{3} (x) y = 2

\int_{0}^{3} 2 π x (3 - x) d x

What is the limit as x approaches-2-of (-3)/(x^2-4) ?
The limit as x approaches-2-of (-3)/(x^2-4) is -infinity